Final answer:
Critical numbers for the greatest integer function are integers where the function steps up to the next integer value. The provided information pertains more to significant figures and calculator use than to the greatest integer function itself.
Step-by-step explanation:
The question pertains to identifying critical numbers for the greatest integer function, which is a piecewise defined function that assigns to any real number the largest integer less than or equal to that number. However, there seems to be a misunderstanding since the provided information does not directly relate to the greatest integer function, but rather to the concepts of exponentiation, logarithms, and significant figures. Normally, critical numbers of a function concern points where its derivative is zero or undefined. In the case of the greatest integer function, this function is not differentiable at integer values because it has jump discontinuities there. Therefore, the critical numbers of the greatest integer function would be all the integers, where the function steps up to the next integer value.
When mathematics involves operations with numbers, it is crucial to consider the significant figures of the results, especially when using a calculator. Applying the rules for addition, subtraction, multiplication, and division ensures that the significant figures in an answer are meaningful and reflect the precision of the original numbers.